Sandhurst Mathematical Papers for Admission Into the Royal Military College for the Years 1881-1889Macmillan, 1890 - 132 sider |
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Side 8
... Prove the formula = radius Find the length of that part of a circular railway curve which subtends an angle of 22 ° to a radius of a mile ( π = 3 * 1416 ) . 10. Prove from a figure that cos ( A - 8 SANDHURST ENTRANCE EXAMINATION .
... Prove the formula = radius Find the length of that part of a circular railway curve which subtends an angle of 22 ° to a radius of a mile ( π = 3 * 1416 ) . 10. Prove from a figure that cos ( A - 8 SANDHURST ENTRANCE EXAMINATION .
Side 41
... , one of them being the vertex . If the curve pass through the third angular point , show that each side of the triangle will be two - thirds of the latus rectum . 2. The locus of the foot of the perpendicular from DECEMBER 1885 . 41.
... , one of them being the vertex . If the curve pass through the third angular point , show that each side of the triangle will be two - thirds of the latus rectum . 2. The locus of the foot of the perpendicular from DECEMBER 1885 . 41.
Side 42
... curve . If any chord PP ' of an hyperbola be produced to meet the two asymptotes in 2 , 2 ' , prove that PQ = P'Q ' . 4. Express the area of a triangle in terms of the rectangular co- ordinates of its angular points . Hence determine ...
... curve . If any chord PP ' of an hyperbola be produced to meet the two asymptotes in 2 , 2 ' , prove that PQ = P'Q ' . 4. Express the area of a triangle in terms of the rectangular co- ordinates of its angular points . Hence determine ...
Side 43
... be satisfied in order that a function of an independent variable may have a maximum or minimum value . Find all the maxima and minima values of 23 3x2 — a2 14. Find all the asymptotes of the curve and trace DECEMBER 1885 . 43.
... be satisfied in order that a function of an independent variable may have a maximum or minimum value . Find all the maxima and minima values of 23 3x2 — a2 14. Find all the asymptotes of the curve and trace DECEMBER 1885 . 43.
Side 44
... curve and trace the curve . x2 ( y + x ) = a2y , 15. Prove that the square of the radius of curvature at any point of a parabola varies as the cube of the focal distance of the point . IV . STATICS AND DYNAMICS . - [ Full marks may be ...
... curve and trace the curve . x2 ( y + x ) = a2y , 15. Prove that the square of the radius of curvature at any point of a parabola varies as the cube of the focal distance of the point . IV . STATICS AND DYNAMICS . - [ Full marks may be ...
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Mathematical Papers for Admission Into the Royal Military College for the ... Royal Military College,Sandhurst,Royal Military Academy Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
angular points attached to accuracy axis ball base Binomial Theorem bisected centre of gravity chord circular measure circumference coefficient of friction cone CONIC SECTIONS cosec cube curve Define Describe diameter DIFF DIFFERENTIAL CALCULUS distance divided drawn ellipse equal angles escribed circles EUCLID AND TRIGONOMETRY expression feet Find the area Find the equation Find the Greatest Find the value forces Full marks geometrical given circle Given log given point given straight line horizontal plane hyperbola I.-ALGEBRA AND MENSURATION II.-EUC inches inscribed intersect latus rectum Least Common Multiple length logarithm middle point Ordinary abbreviations parabola parallel perpendicular polar Prove quadrilateral radius ratio rectangle contained rectangular respectively right angles segments Solve the equations sphere square root string tangent triangle ABC TRIG TRIGONOMETRY twice the rectangle vertex vertical angle weight yards
Populære avsnitt
Side 57 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 12 - ... if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.
Side 92 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Side 28 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it.
Side 19 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Side 48 - ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.
Side 36 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Side 56 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Side 101 - If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part.
Side 27 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.